Getting topological information for a 80-adjacency doxel-based 4D volume through a polytopal cell complex
Given an 80-adjacency doxel-based digital four-dimensional hypervolume V, we construct here an associated oriented 4–dimensional polytopal cell complex K(V), having the same integer homological information (that related to n-dimensional holes that object has) than V. This is the first step toward th...
| Authors: | , |
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| Format: | book part |
| Status: | Versión enviada para evaluación y publicación |
| Publication Date: | 2009 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/31974 |
| Online Access: | http://hdl.handle.net/11441/31974 https://doi.org/10.1007/978-3-642-10268-4_33 |
| Access Level: | Open access |
| Keyword: | 4–polytope Algebraic topological model Cartesian product Cell complex Integral operator Orientation |
| Summary: | Given an 80-adjacency doxel-based digital four-dimensional hypervolume V, we construct here an associated oriented 4–dimensional polytopal cell complex K(V), having the same integer homological information (that related to n-dimensional holes that object has) than V. This is the first step toward the construction of an algebraic-topological representation (AT-model) for V, which suitably codifies it mainly in terms of its homological information. This AT-model is especially suitable for global and local topological analysis of digital 4D images. |
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